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221040420 = 22357946633
BaseRepresentation
bin11010010110011…
…00111100100100
3120101221000110020
431023030330210
5423041243140
633533355140
75322545466
oct1513147444
9511830406
10221040420
11103853a37
1262038ab0
1336a43163
14214dc136
15146136d0
hexd2ccf24

221040420 has 48 divisors (see below), whose sum is σ = 626760960. Its totient is φ = 58196736.

The previous prime is 221040403. The next prime is 221040427. The reversal of 221040420 is 24040122.

221040420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221040420.

It is not an unprimeable number, because it can be changed into a prime (221040427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18577 + ... + 28056.

It is an arithmetic number, because the mean of its divisors is an integer number (13057520).

Almost surely, 2221040420 is an apocalyptic number.

221040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221040420 is an abundant number, since it is smaller than the sum of its proper divisors (405720540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221040420 is a wasteful number, since it uses less digits than its factorization.

221040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46724 (or 46722 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 221040420 is about 14867.4281568804. The cubic root of 221040420 is about 604.6312166364.

Adding to 221040420 its reverse (24040122), we get a palindrome (245080542).

The spelling of 221040420 in words is "two hundred twenty-one million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 46633 93266 139899 186532 233165 279798 466330 559596 699495 932660 1398990 2797980 3684007 7368014 11052021 14736028 18420035 22104042 36840070 44208084 55260105 73680140 110520210 221040420